A hysteresis model is proposed

aiming at hysteresis of piezoelectric ceramic. The model is based on the basic idea of Bouc-Wen hysteresis model

and the optimization of Bouc-Wen hysteresis model is carried out. The identification difficulty of model parameters is greatly reduced

and the computation time is reduced. It also ensures the high precision of the model. In order to verify the correctness of the model

the model is validated by experiments. The results show that localization error of the improved model is 0. 186 6 μm

and the maximum relative error is 0. 467 %. The model is proved to has high precision and the feasibility of this model is verified

and a feasible scheme is provided for the design of the controller of the piezoelectric micro machine.